Gompertz curve


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Gompertz curve

[′gäm‚pərts ‚kərv]
(statistics)
A curve similar to the exponential curve except that the constant a is raised to the b x power instead of the x power; used in fitting a trend line to a nonlinear time series.
References in periodicals archive ?
Length-at-age was fit with three models; the von Bertalanffy and Gompertz curve fits are shown in Figure 1.
Gompertz curve characteristic were around the inflection point where maximum growth rate is achieved (Fialho 1999).
2011) and the Gompertz curve was fitted to the Mengali sheep data.
where d is the lower asymptote, c is the upper asymptote, b is the rate at which the fertility increases, and a is the parameter that determines the shape of the Gompertz curve.
The Gompertz curve model was used to describe the growth of the juvenile white mullet, because this model is more appropriate than the logistical curve and that of von Bertalanffy in describing the growth of fish < 1 year (Zweifel & Lasker, 1976; Ricker, 1979; Gluyas-Millan et al.
Gompertz Curve: The logistic curve closely resembles the half normal curve whereas the Gompertz curve is not normal but a skewed one.
The Gompertz curve has the following mathematical formulation:
The Gompertz curve predicted initial exponential growth, starting from very small increments for the smallest abalone and reaching a maximum and tailing off as initial length increases.
Nevertheless the Gompertzian curve seems to fit the earlier phase of tumor growth, the initial doubling time of the Gompertz curve is not a good descriptor of the early phase of the growth rate.
Even the problems in trying to work out something as seemingly simple as how many PCs there were involved an adroit mixture of research, guesswork, and the manipulation of a Gompertz Curve.
An S-shaped Gompertz curve (33)--in which the decrease is slow initially, accelerates, and slows down again, trending to a stable level--best illustrates the past trends in H.